Recent content by oxlade15

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    Linear algebra proof subspaces

    Homework Statement Let A be a fixed 2x2 matrix. Prove that the set W = {X : XA = AX} is a subspace of M2,2. Homework Equations Theorem: Test for a subspace If W is a nonempty subset of a vector space V, then W is a subspace of V if and only if the following closure conditions hold. 1...
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    How to Prove that the Span of k-1 Vectors is also the Span of V?

    Homework Statement 1. If V is spanned by {v1,v2, ..., vk} and one of these vectors can be written as a linear combination of the other k-1 vectors, prove that the span of these k-1 vectors is also V. Homework Equations A set S = {v1,v2, ..., vk}, k >= 2 is linearly dependent if and only...